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Finding the Fourth Proportional to 11,773.12, 17,661.87 and 3,876.08

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Solution

The fourth proportional to 11,773.12, 17,661.87 and 3,876.08 is: 5,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.12 : 17,661.87 = 3,876.08 : x
  2. Step 2: Convert to fraction form
    11,773.12/17,661.87 = 3,876.08/x
  3. Step 3: Cross multiply
    11,773.12x = 17,661.87 × 3,876.08
  4. Step 4: Simplify right side
    11,773.12x = 68,458,821.07
  5. Step 5: Solve for x
    x = 68,458,821.07/11,773.12
  6. Step 6: Final answer
    x = 5,814.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.